# Pythagix
Pythagix is a lightweight, dependency-free Python library for number theory operations.
It provides a clean and efficient interface for common mathematical utilities such as prime checking, greatest common divisor, triangular numbers, and more.
---
Installation
You can install Pythagix using pip:
```bash
pip install pythagix
```
Features
count_factors(number: int) -> list[int]
Returns a sorted list of all positive factors of the given number.
digit_sum(number: int) -> int
Returns the sum of all digits in the given number.
filter_primes(values: list[int]) -> list[int]
Filters and returns prime numbers from a list of integers.
from_percentage(number: int | float) -> float
Convert a percentage to a decimal.
gcd(values: list[int]) -> int
Computes the greatest common divisor (GCD) of a list of integers.
is_equivalent(ratio1: tuple[int, int], ratio2: tuple[int, int]) -> bool
Check if two ratios are equivalent by simplifying both and comparing.
is_perfect_square(number: int) -> bool
Determines whether a number is a perfect square.
is_prime(number: int) -> bool
Checks whether a number is prime.
is_multiple(number: int, base: int) -> bool
Checks if one number is a multiple of another.
lcm(values: list[int]) -> int
Computes the least common multiple (LCM) of a list of integers.
mean(values: list[int | float]) -> float
Calculates the arithmetic mean (average) of a list of numbers.
median(values: list[int | float]) -> float
Computes the median value of a list.
middle(a: int | float, b: int | float) -> float
Returns the midpoint of two numeric values.
mode(values: list[int | float]) -> int | float | list[int | float]
Computes the mode(s) of a list. Returns a single value or a list of modes.
nth_prime(position: int) -> int
Retrieves the n-th prime number (1-based index).
prime_factors(number: int) -> list[int]
Get all prime factors of the given number.
simplify_ratio(ratio: tuple[int, int]) -> tuple[int, int]
Simplify a ratio by dividing both terms by their greatest common divisor (GCD).
std_dev(values: list[float]) -> float
Determine the standard deviation of the values
to_percentage(number: int | float) -> int | float
Convert a decimal to a percentage.
triangle_number(index: int) -> int
Computes the n-th triangular number.
variance(values: list[float]) -> float
Work out the variance of the values.
Use Cases
Pythagix is suitable for:
Educational platforms and math-related applications
Prototyping number-theoretic algorithms
Teaching foundational concepts in discrete mathematics
Lightweight command-line tools and academic scripting
License
This project is licensed under the MIT License.
You are free to use, modify, and distribute the software as permitted under the license terms.
Contributing
Contributions are welcome.
To report bugs, suggest enhancements, or submit code improvements, please open an issue or create a pull request via the GitHub repository.
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